If the outermost electron in an atom is excited to a very high energy state, its orbit is far beyond that of the other electrons. To a good approximation, we can think of the electron as orbiting a compact core with a charge equal to the charge of a single proton. The outer electron in such a Rydberg atom thus has energy levels corresponding to those of hydrogen.a. What is the radius of the n = 100 state of the Bohr hydrogen atom?b. Sodium is a common element for such studies. How does the radius you calculated in part a compare to the approximately 0.2 nm radius of a typical sodium atom?

Physics for Scientists and Engineers with Modern Physics
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Author:Raymond A. Serway, John W. Jewett
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Chapter41: Atomic Physics
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If the outermost electron in an atom is excited to a very high energy state, its orbit is far beyond that of the other electrons. To a good approximation, we can think of the electron as orbiting a compact core with a charge equal to the charge of a single proton. The outer electron in such a Rydberg atom thus has energy levels corresponding to those of hydrogen.
a. What is the radius of the n = 100 state of the Bohr hydrogen atom?
b. Sodium is a common element for such studies. How does the radius you calculated in part a compare to the approximately 0.2 nm radius of a typical sodium atom?

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